2,263,225

5² × 90529

Starting at 2,263,225, the Collatz iteration reaches 1 after 130 steps. The first transition is 6789676; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 90529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,806,430

Proper Divisor Sum 543,205

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2263213 ← → #2263229

Radix Representation

Decimal	2263225
Binary	1000101000100010111001 (22 bits)
Octal	0o10504271
Hexadecimal	0x2288B9

Divisor Catalog (6)

1 5 25 90,529 452,645 2,263,225

Collatz Trajectory (130 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,263,225 6,789,676 3,394,838 1,697,419 5,092,258 2,546,129 7,638,388 3,819,194 1,909,597 5,728,792 2,864,396 1,432,198 716,099 2,148,298 1,074,149 3,222,448 1,611,224 805,612 402,806 201,403 604,210 302,105 906,316 453,158 226,579 679,738 339,869 1,019,608 509,804 254,902 127,451 382,354 191,177 573,532 286,766 143,383 430,150 215,075 645,226 322,613 967,840 483,920 241,960 120,980 60,490 30,245 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357

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